A Floquet Operator with Pure Point Spectrum and Energy Instability

2007/01/31 by Cesar R. de Oliveira, de Oliveira, Cesar R., Mariza S. Simsen +1
Mathematics · Physics and Astronomy · #47B99) #81Q10 (11B #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #math-ph #math.MP #math.SP #msc:81Q10

paper · pdf · doi:10.48550/arxiv.math-ph/0701078

24 pages. No figures. To appear in AHP

arxiv created 2007/01/31 · arxiv updated 2009/12/01

Abstract

An example of Floquet operator with purely point spectrum and energy instability is presented. In the unperturbed energy eigenbasis its eigenfunctions are exponentially localized.

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